Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 3.3, Problem 3.27E
Data file XR02028 shows the depths (in meters) that 80 water-resistant watches were able to withstand just before leakage. For the watches in this sample, determine and interpret the following:
a. The
b. The mean absolute deviation.
c. The standard deviation and variance.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
Chapter 3 Solutions
Introduction to Business Statistics
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Ch. 3.2 - Prob. 3.11ECh. 3.2 - Prob. 3.12ECh. 3.2 - Prob. 3.13ECh. 3.2 - Prob. 3.14ECh. 3.2 - Prob. 3.15ECh. 3.3 - Prob. 3.16ECh. 3.3 - Prob. 3.17ECh. 3.3 - Prob. 3.18ECh. 3.3 - Prob. 3.19ECh. 3.3 - For a sample of 11 employers, the most recent...Ch. 3.3 - According to the U.S. Invironrnental Protection...Ch. 3.3 - For a sample of eight apartment buildings in...Ch. 3.3 - Prob. 3.23ECh. 3.3 - Prob. 3.24ECh. 3.3 - Prob. 3.25ECh. 3.3 - Prob. 3.26ECh. 3.3 - Data file XR02028 shows the depths (in meters)...Ch. 3.4 - Prob. 3.28ECh. 3.4 - According to Chebyshev’s theorem, what percentage...Ch. 3.4 - Prob. 3.30ECh. 3.4 - Prob. 3.31ECh. 3.4 - The manufacturer of an extended-life lighthulh...Ch. 3.4 - For college-bound high school seniors from a...Ch. 3.4 - For data set A, the mean is $1235, with a standard...Ch. 3.4 - Prob. 3.35ECh. 3.4 - Prob. 3.36ECh. 3.4 - Prob. 3.37ECh. 3.4 - Prob. 3.38ECh. 3.5 - Prob. 3.39ECh. 3.5 - Prob. 3.40ECh. 3.5 - Prob. 3.41ECh. 3.6 - Prob. 3.42ECh. 3.6 - For a set of data, r2 is 0.64 and the variables x...Ch. 3.6 - Prob. 3.44ECh. 3.6 - Prob. 3.45ECh. 3.6 - Prob. 3.46ECh. 3.6 - Prob. 3.47ECh. 3 - The first seven ustomers of the day at a small...Ch. 3 - A dental supplies distributor ships a customer 50...Ch. 3 - The 2007 top-grossing feature film was Spiderman...Ch. 3 - Prob. 3.51CECh. 3 - Prob. 3.52CECh. 3 - Prob. 3.53CECh. 3 - Prob. 3.54CECh. 3 - Prob. 3.55CECh. 3 - Prob. 3.56CECh. 3 - A quality control supervisor has taken a sample of...Ch. 3 - Prob. 3.58CECh. 3 - Prob. 3.59CECh. 3 - A law enforcement agency, administering...Ch. 3 - Prob. 3.61CECh. 3 - Prob. 3.62CECh. 3 - Prob. 3.63CECh. 3 - Prob. 3.64CECh. 3 - According to the Energy Information...Ch. 3 - Bride’s magazine reports the cost of the average...Ch. 3 - Prob. 3.67CECh. 3 - Prob. 3.68CECh. 3 - Prob. 3.69CE
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